Impedance: A series circuit has a resistance of 4.0 Ω, a reactance (due to the capacitance) of 21.0 Ω, and a reactance (due to the inductance) of 17.0 Ω. Find the impedance of the circuit.

LRC series circuits: A 120-V rms voltage at 1000 Hz is applied to an inductor, a 2.00-µF capacitor and a 100-Ω resistor, all in series. If the rms value of the current in this circuit is 0.680 A, what is the inductance of the inductor?

Self-inductance: What is the self-inductance of a solenoid 30.0 cm long having 100 turns of wire and a cross-sectional area of 1.00 × 10-4 m2? (µ0 = 4π × 10-7 T · m/A)

LRC series circuits: A series LRC circuit has a sinusoidal voltage supplied to it at 197 kHz with a peak voltage of 270 V a 41-kΩ resistance, a 14-mF capacitor, and a 63-H inductance. What is the peak current for this circuit?

Circular motion of charges: A charged particle of mass  0.0020 kg is subjected to a 6.0 T magnetic field which acts at a right angle to its motion. If the particle moves in a circle of radius 0.20 m at a speed of 5.0 m/s what is the magnitude of the charge on the particle?

Energy density: How much energy is stored in a room 3.0 m by 4.0 m by 2.4 m due to the earth’s magnetic field with a strength of 5.0 × 10-5 T? (µ0 = 4π × 10-7 T · m/A)

Transformers: The primary coil of a transformer has 100 turns and its secondary coil has 400 turns.  If the ac voltage applied to the primary coil is 120 V, what voltage is present in its secondary coil?

Motional emf: A 50-cm wire placed in an east-west direction is moved horizontally to the north with a speed of 2.0 m/s.  The horizontal component of the earth’s magnetic field at that location is 25 µT toward the north and the vertical component is 50ìT downward. What is the emf induced between the ends of the wire?

Flux: A circular loop of radius 0.10 m is rotating in a uniform external magnetic field of 0.20 T.  Find the magnetic flux through the loop due to the external field when the plane of the loop and the magnetic field vector are(a) parallel. (2.5 points)(b) perpendicular. (2.5 points)(c) at an angle of 30° with each other. (2.5 points)

Power: A series LRC ac circuit has a peak voltage of 111 V and a peak current of 2.00 A. If the current lags the voltage by 35.0° what is the average power of the circuit?